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Finding the Fourth Proportional to 2,156.49, 3,235.10 and 770.00

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Solution

The fourth proportional to 2,156.49, 3,235.10 and 770.00 is: 1,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.49 : 3,235.10 = 770.00 : x
  2. Step 2: Convert to fraction form
    2,156.49/3,235.10 = 770.00/x
  3. Step 3: Cross multiply
    2,156.49x = 3,235.10 × 770.00
  4. Step 4: Simplify right side
    2,156.49x = 2,491,006.97
  5. Step 5: Solve for x
    x = 2,491,006.97/2,156.49
  6. Step 6: Final answer
    x = 1,155.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.